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Simplifying 5(3 + -1x) = -1(1 + x) (3 * 5 + -1x * 5) = -1(1 + x) (15 + -5x) = -1(1 + x) 15 + -5x = (1 * -1 + x * -1) 15 + -5x = (-1 + -1x) Solving 15 + -5x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + -5x + x = -1 + -1x + x Combine like terms: -5x + x = -4x 15 + -4x = -1 + -1x + x Combine like terms: -1x + x = 0 15 + -4x = -1 + 0 15 + -4x = -1 Add '-15' to each side of the equation. 15 + -15 + -4x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -1 + -15 -4x = -1 + -15 Combine like terms: -1 + -15 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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